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ABCD is quadrilateral E, F, G and H are ...

ABCD is quadrilateral E, F, G and H are the midpoints of `AB, BC, CD and DA` respectively. Prove that EFGH is a parallelogram.

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ABCD is a square. E, F, G and H are the mid points of AB, BC, CD and DA respectively. Such that AE = BF = CG = DH . Prove that EFGH is a square.

In the adjacent figure ABCD is a parallelogram P and Q are the midpoints of sides AB and DC respectively. Show that PBCQ is also a parallelogram.

In the figure, ΔABC, D, E, F are the midpoints of sides BC, CA and AB respectively. Show that (i) BDEF is a parallelogram (ii) ar(DeltaDEF)=1/4ar(DeltaABC) (iii) ar(BDEF)=1/2ar(DeltaABC)

In the adjacent figure a parallelogram and P, Q are the midpoints of sides AB and DC respectively. Show that PBCQ is also a parallelogram.

If M and N are the mid - points of the sides BC and CD respectively of a parallelogram ABCD, then AM + AN equals

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

In Delta^s ABC and DEF, DE and AB || DE , BC=EF and BC || EF . Vertices A, B and C are joined to vertices D, E and F respectively (see figure). Show that : ABED is a parallelogram.

In Delta^s ABC and DEF, DE and AB || DE , BC=EF and BC || EF . Vertices A, B and C are joined to vertices D, E and F respectively (see figure). Show that : BCFE is a parallelogram.

NCERT TELUGU-QUADRILATERALS-EXERCISE
  1. Draw a triangle ABC and mark the midpoints E and F of two sides of tri...

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  2. ABC is a triangle . D is a point of AB such that AD=(1)/(4)AB and E is...

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  3. ABCD is quadrilateral E, F, G and H are the midpoints of AB, BC, CD an...

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  4. Show that the figure formed by joining the midpoints of sides of a rho...

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  5. In a parallelogram ABCD, E and F are the midpoints of the sides AB and...

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  6. Show that the line segments joining the midpoints of the opposite side...

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  7. ABC is a triangle right angled at 'C'. A line through the midpoint M o...

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  8. ABC is a triangle right angled at C. A line through the midpoint M of ...

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  9. ABC is a triangle right angled at 'C'. A line through the midpoint M o...

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  10. ABCD is a parallelogram and P is a point of bar(CD). Show that ar(/\AB...

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  11. PQRS is a parallelogram. K. L are the midpoints on PQ, RS respectively...

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  12. ABCD is a parallelogram and P, Q are the mid points of bar(AD) and bar...

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  13. ABCD is a parallelogram and P, Q are the mid points of bar(AD) and bar...

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  14. In /\ABC, AD is the median on bar(BC). 'E' is the midpoint of AD. Draw...

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  15. In a Parallelogram PQRS, /SPQ=70^@ and angle SQR=65^@. Find the other ...

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  16. In a parallelogram ABCD, angleABC=50^@.Find the other angles.

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  17. The four angles of a quadrilateral is in the ratio of 3:4:5: 6. Find t...

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  18. The four angles of a quadrilateral is in the ratio of 2 : 3:5: 8. Find...

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  19. The opposite angles of a parallelogram are (2x - 3)^@ and (x + 4)^@. F...

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  20. In /\ABC, P, Q, R are the mid points of bar(AB), bar(BC), bar(CA) resp...

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